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Ber [7]
3 years ago
9

Pauling works out with a 2.5-kilogram mass. what is the mass of the 2.5-kilogram mass in grams

Mathematics
1 answer:
Gala2k [10]3 years ago
8 0
1 kilogram= 1,000 grams 2 kilograms= 2,000 grams 1,000/2=500 2,000+500=2,500 grams 2.5 kilograms= 2,500 grams. Hope this helps!! :)
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Need help with finding the area of this
dusya [7]
In the given figure, there are two right angled triangles.

Area of triangle = 1/2 × b × h

Area of shaded region = area of larger triangle - area of smaller triangle

= 1/2 × 15 × 18 - 1/2 × 8 × 9

= 135 - 36

= 99 ft^2

Thus, area of shaded region is 99 ft^2.

3 0
3 years ago
There are 4 people at a party. Consider the random variable X=’number of people having the same birthday ’ (match only month, N=
yulyashka [42]

Answer:

S = {0,2,3,4}

P(X=0) = 0.573 , P(X=2) = 0.401 , P(x=3) = 0.025, P(X=4) = 0.001

Mean = 0.879

Standard Deviation = 1.033

Step-by-step explanation:

Let the number of people having same birth month be = x

The number of ways of distributing the birthdays of the 4 men = (12*12*12*12)

The number of ways of distributing their birthdays = 12⁴

The sample space, S = { 0,2,3,4} (since 1 person cannot share birthday with himself)

P(X = 0) = \frac{12P4}{12^{4} }

P(X=0) = 0.573

P(X=2) = P(2 months are common) P(1 month is common, 1 month is not common)

P(X=2) = \frac{3C2 * 12P2}{12^{4} } + \frac{4C2 * 12P3}{12^{4} }

P(X=2) = 0.401

P(X=3) = \frac{4C3 * 12P2}{12^{4} }

P(x=3) = 0.025

P(X=4) = \frac{12}{12^{4} }

P(X=4) = 0.001

Mean, \mu = \sum xP(x)

\mu = (0*0.573) + (2*0.401) + (3*0.025) + (4*0.001)\\\mu = 0.879

Standard deviation, SD = \sqrt{\sum x^{2} P(x) - \mu^{2}}  \\SD =\sqrt{ [ (0^{2} * 0.573) + (2^{2}  * 0.401) + (3^{2} * 0.025) + (4^{2} * 0.001)] - 0.879^{2}}

SD = 1.033

4 0
3 years ago
Which of the following theorems verifies that ABC ~ STU?
Lunna [17]

Answer:

B. AA

Step-by-step explanation:

The diagram given shows that two angles in ∆ABC are congruent to two corresponding angles in ∆STU.

Invariably, the third unknown angle of both triangles would also be equal going by the third angle theorem.

Thus, based on the AA Similarity Theorem which says that two triangles are similar to each other if two corresponding angles of one is congruent to two angles in the other, ∆ABC ~ ∆STU.

4 0
3 years ago
Find the product.<br><br> (n + 4)2
Schach [20]

Answer:

n^2+8n+16

Step-by-step explanation:

(n+4)^2

=(n+4) (n+4)

= n^2+4n+4n+16

=n^2+8n+16

5 0
3 years ago
Read 2 more answers
Jane read 3/8 of a book for 6 days. How many books did she read?
otez555 [7]

Hey there!

The answer to your question is 2 \frac{1}{4} books.

To solve this, we must multiply \frac{3}{8} by 6

\frac{3}{8} *\frac{6}{1}=\frac{18}{8} =2\frac{1}{4}

Hope it helps! Have a great day!

7 0
3 years ago
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